Details

sample274.0ms

Algorithm

intervals

Results

91.0ms	104×	body	1280	valid
39.0ms	52×	body	10240	exit
33.0ms	54×	body	640	valid
27.0ms	155×	body	80	valid
17.0ms	28×	body	640	nan
16.0ms	178×	body	80	nan
14.0ms	17×	body	1280	nan
8.0ms	18×	body	320	valid
4.0ms	12×	body	320	nan
4.0ms	15×	body	160	valid
1.0ms	7×	body	160	nan

simplify330.0ms

Counts

1 → 1

Calls

1 calls:

Slowest

330.0ms

(- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n)))

prune8.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 28.7b

localize15.0ms

Local error

Found 3 expressions with local error:

1.8b	(- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n)))
0.9b	(pow (+ x 1) (/ 1 n))
0.0b	(pow x (/ 1 n))

rewrite106.0ms

Algorithm

rewrite-expression-head

Rules

31×	`add-sqr-sqrt`
28×	`*-un-lft-identity`
26×	`pow-unpow`
19×	`add-cube-cbrt`
18×	`times-frac`
17×	`unpow-prod-down`
9×	`difference-of-squares`
8×	`sqr-pow`
5×	`pow1` `add-exp-log` `add-log-exp`
3×	`add-cbrt-cube` `insert-posit16` `distribute-lft-out--`
2×	`pow-to-exp` `pow-pow` `pow-exp` `div-inv` `distribute-lft-out`
1×	`sub-neg` `flip3--` `diff-log` `flip--`

Counts

3 → 82

Calls

3 calls:

Slowest

85.0ms	(- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n)))
14.0ms	(pow (+ x 1) (/ 1 n))
5.0ms	(pow x (/ 1 n))

series408.0ms

Counts

3 → 9

Calls

3 calls:

Slowest

248.0ms	(- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n)))
100.0ms	(pow (+ x 1) (/ 1 n))
61.0ms	(pow x (/ 1 n))

simplify9.3s

Counts

69 → 91

Calls

69 calls:

Slowest

523.0ms	(+ (sqrt (pow (+ x 1) (/ 1 n))) (sqrt (pow x (/ 1 n))))
499.0ms	(+ (sqrt (pow (+ x 1) (/ 1 n))) (pow (sqrt x) (/ 1 n)))
482.0ms	(+ (pow (sqrt (+ x 1)) (/ 1 n)) (pow (sqrt x) (/ 1 n)))
482.0ms	(+ (pow (sqrt (+ x 1)) (/ 1 n)) (sqrt (pow x (/ 1 n))))
477.0ms	(- (sqrt (pow (+ x 1) (/ 1 n))) (sqrt (pow x (/ 1 n))))

prune939.0ms

Pruning

7 alts after pruning (7 fresh and 0 done)

Merged error: 20.7b

localize36.0ms

Local error

Found 4 expressions with local error:

2.1b	(- (pow (pow (+ x 1) (* (cbrt (/ 1 n)) (cbrt (/ 1 n)))) (cbrt (/ 1 n))) (pow x (/ 1 n)))
0.9b	(cbrt (/ 1 n))
0.9b	(cbrt (/ 1 n))
0.9b	(cbrt (/ 1 n))

rewrite181.0ms

Algorithm

rewrite-expression-head

Rules

44×	`add-sqr-sqrt`
39×	`cbrt-prod`
27×	`*-un-lft-identity` `times-frac`
25×	`add-cube-cbrt`
17×	`unpow-prod-down`
15×	`difference-of-squares`
11×	`sqr-pow`
6×	`add-log-exp`
4×	`pow1` `add-cbrt-cube` `add-exp-log` `insert-posit16`
3×	`cbrt-div` `pow1/3` `div-inv`
1×	`sub-neg` `flip3--` `diff-log` `flip--` `distribute-lft-out--`

Counts

4 → 98

Calls

4 calls:

Slowest

173.0ms	(- (pow (pow (+ x 1) (* (cbrt (/ 1 n)) (cbrt (/ 1 n)))) (cbrt (/ 1 n))) (pow x (/ 1 n)))
3.0ms	(cbrt (/ 1 n))
2.0ms	(cbrt (/ 1 n))
1.0ms	(cbrt (/ 1 n))

series1.3s

Counts

4 → 12

Calls

4 calls:

Slowest

416.0ms	(- (pow (pow (+ x 1) (* (cbrt (/ 1 n)) (cbrt (/ 1 n)))) (cbrt (/ 1 n))) (pow x (/ 1 n)))
295.0ms	(cbrt (/ 1 n))
294.0ms	(cbrt (/ 1 n))
273.0ms	(cbrt (/ 1 n))

simplify12.4s

Counts

86 → 110

Calls

86 calls:

Slowest

488.0ms	(- (pow (pow (+ x 1) (/ (* (cbrt (/ 1 n)) (cbrt (/ 1 n))) 2)) (cbrt (/ 1 n))) (pow (sqrt x) (/ 1 n)))
468.0ms	(- (pow (pow (sqrt (+ x 1)) (* (cbrt (/ 1 n)) (cbrt (/ 1 n)))) (cbrt (/ 1 n))) (pow x (/ (/ 1 n) 2)))
464.0ms	(- (pow (sqrt (pow (+ x 1) (* (cbrt (/ 1 n)) (cbrt (/ 1 n))))) (cbrt (/ 1 n))) (pow x (/ (/ 1 n) 2)))
460.0ms	(- (pow (pow (sqrt (+ x 1)) (* (cbrt (/ 1 n)) (cbrt (/ 1 n)))) (cbrt (/ 1 n))) (pow (sqrt x) (/ 1 n)))
441.0ms	(+ (pow (pow (+ x 1) (/ (* (cbrt (/ 1 n)) (cbrt (/ 1 n))) 2)) (cbrt (/ 1 n))) (pow x (/ (/ 1 n) 2)))

prune2.0s

Pruning

7 alts after pruning (7 fresh and 0 done)

Merged error: 20.7b

localize21.0ms

Local error

Found 4 expressions with local error:

3.8b	(log (pow x (/ 1 n)))
2.1b	(- (pow (+ x 1) (/ 1 n)) (exp (log (pow x (/ 1 n)))))
0.9b	(pow (+ x 1) (/ 1 n))
0.0b	(pow x (/ 1 n))

rewrite95.0ms

Algorithm

rewrite-expression-head

Rules

39×	`add-sqr-sqrt`
26×	`pow-unpow` `*-un-lft-identity`
22×	`add-cube-cbrt`
18×	`times-frac`
17×	`unpow-prod-down`
16×	`log-prod`
12×	`difference-of-squares`
10×	`sqr-pow`
9×	`exp-sum`
8×	`add-exp-log`
6×	`pow1` `add-log-exp`
4×	`add-cbrt-cube` `insert-posit16`
3×	`pow-to-exp` `rem-log-exp` `pow-exp`
2×	`pow-pow` `div-inv`
1×	`sub-neg` `flip3--` `diff-log` `log-pow` `flip--` `distribute-lft-out` `distribute-lft-out--`

Counts

4 → 102

Calls

4 calls:

Slowest

73.0ms	(- (pow (+ x 1) (/ 1 n)) (exp (log (pow x (/ 1 n)))))
8.0ms	(pow (+ x 1) (/ 1 n))
6.0ms	(log (pow x (/ 1 n)))
5.0ms	(pow x (/ 1 n))

series560.0ms

Counts

4 → 12

Calls

4 calls:

Slowest

263.0ms	(- (pow (+ x 1) (/ 1 n)) (exp (log (pow x (/ 1 n)))))
117.0ms	(log (pow x (/ 1 n)))
104.0ms	(pow (+ x 1) (/ 1 n))
76.0ms	(pow x (/ 1 n))

simplify12.6s

Counts

85 → 114

Calls

85 calls:

Slowest

608.0ms	(+ (sqrt (pow (+ x 1) (/ 1 n))) (exp (log (pow x (/ (/ 1 n) 2)))))
543.0ms	(+ (pow (sqrt (+ x 1)) (/ 1 n)) (exp (log (pow x (/ (/ 1 n) 2)))))
497.0ms	(+ (sqrt (pow (+ x 1) (/ 1 n))) (exp (log (sqrt (pow x (/ 1 n))))))
486.0ms	(- (pow (+ x 1) (/ (/ 1 n) 2)) (exp (log (pow (sqrt x) (/ 1 n)))))
483.0ms	(- (pow (sqrt (+ x 1)) (/ 1 n)) (exp (log (sqrt (pow x (/ 1 n))))))

prune1.4s

Pruning

7 alts after pruning (7 fresh and 0 done)

Merged error: 17.3b

localize52.0ms

Local error

Found 4 expressions with local error:

3.8b	(log (pow x (/ 1 n)))
2.1b	(- (pow (+ x 1) (/ 1 n)) (exp (log (pow x (/ 1 n)))))
1.8b	(log (exp (- (pow (+ x 1) (/ 1 n)) (exp (log (pow x (/ 1 n)))))))
0.9b	(pow (+ x 1) (/ 1 n))

rewrite274.0ms

Algorithm

rewrite-expression-head

Rules

50×	`add-sqr-sqrt`
30×	`log-prod`
24×	`difference-of-squares`
22×	`*-un-lft-identity`
21×	`unpow-prod-down`
20×	`exp-sum`
18×	`log-pow`
16×	`exp-prod` `add-cube-cbrt` `sqr-pow`
13×	`pow-unpow`
9×	`times-frac`
7×	`add-exp-log`
6×	`pow1` `add-log-exp`
4×	`add-cbrt-cube` `rem-log-exp` `insert-posit16`
2×	`pow-to-exp` `sub-neg` `pow-exp` `distribute-lft-out--`
1×	`log-div` `pow-pow` `flip3--` `exp-diff` `diff-log` `div-inv` `flip--` `distribute-lft-out`

Counts

4 → 106

Calls

4 calls:

Slowest

177.0ms	(log (exp (- (pow (+ x 1) (/ 1 n)) (exp (log (pow x (/ 1 n)))))))
74.0ms	(- (pow (+ x 1) (/ 1 n)) (exp (log (pow x (/ 1 n)))))
14.0ms	(pow (+ x 1) (/ 1 n))
6.0ms	(log (pow x (/ 1 n)))

series792.0ms

Counts

4 → 12

Calls

4 calls:

Slowest

289.0ms	(- (pow (+ x 1) (/ 1 n)) (exp (log (pow x (/ 1 n)))))
276.0ms	(log (exp (- (pow (+ x 1) (/ 1 n)) (exp (log (pow x (/ 1 n)))))))
115.0ms	(pow (+ x 1) (/ 1 n))
112.0ms	(log (pow x (/ 1 n)))

simplify18.8s

Counts

91 → 118

Calls

91 calls:

Slowest

903.0ms	(- (pow (+ x 1) (/ (/ 1 n) 2)) (exp (log (pow (sqrt x) (/ 1 n)))))
552.0ms	(+ (sqrt (pow (+ x 1) (/ 1 n))) (exp (log (pow x (/ (/ 1 n) 2)))))
534.0ms	(- (pow (sqrt (+ x 1)) (/ 1 n)) (exp (log (sqrt (pow x (/ 1 n))))))
518.0ms	(+ (pow (sqrt (+ x 1)) (/ 1 n)) (exp (log (sqrt (pow x (/ 1 n))))))
504.0ms	(- (sqrt (pow (+ x 1) (/ 1 n))) (exp (log (sqrt (pow x (/ 1 n))))))

prune1.6s

Pruning

8 alts after pruning (8 fresh and 0 done)

Merged error: 17.3b

regimes382.0ms

Accuracy

74.9% (2.8b remaining)

Error of 20.6b against oracle of 17.7b and baseline of 29.0b

bsearch20.0ms

end0.0ms

sample10.4s

Algorithm

intervals

Results

3.2s	3122×	body	1280	valid
1.6s	1183×	body	10240	exit
1.3s	1613×	body	640	valid
928.0ms	611×	body	640	nan
808.0ms	4854×	body	80	valid
672.0ms	5028×	body	80	nan
636.0ms	618×	body	1280	nan
464.0ms	828×	body	320	valid
151.0ms	320×	body	320	nan
127.0ms	417×	body	160	valid
81.0ms	205×	body	160	nan